In this section, we review the modular description of the Kähler moduli space of \(K_{{P}^2}\) ,
derive the Eichler integral representation (REF ) of the periods \((T,T_D)\) , and use it to obtain asymptotic expansions around the large volume, conifold and orbifold points and the behavior under monodromies. We refer to [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]} for earlier studies in the literature.We are grateful to Thorsten Schimannek for his help
about the material in this section.
